please send handwritten solution for Q 5 1.Use Linear Congruential Method to generate the first five uniformrandom numbers U1, U2, ., Us given the following:....a = 74, m = 212 – 1, c = 547 and xo = 1002.The Pareto(a,b) distribution has cdf given as followsF(x) = 1- () ,x > b > 0, a > 0a. Derive the probability inverse transformation F¯(U).b. Use the inverse transform method to write an algorithm for a Pareto (2,2)distribution.3.Use rejection method to write an algorithm that will generate thegamma(2,1) random variable X having the density function as follows:f(x) = xe-,x > 0%3D(Hint: Use Y with density function g(y) = e,y> 0)4.Write an algorithm to generate X for the following mixture:Fx(x) = 0.4Fx,(x) + 0.25F×,(x) + 0.35Fx, (x)%3Dwhere X1~N(1,1), X2~N(0,2), X3~N(2,4).5.Let the non-homogeneous Poisson process has the following intensityfunctionA(t) = -t² + 2t + 8, 0st<4a. Compute lo, the maximum value of 1(t) over the interval.b. Write an algorithm for generating the said process for to = 4.

In this problem, we are given the intensity function of a non-homogeneous…

Answered: 5. Let the non-homogeneous Poisson…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.6: Matrices

Problem 7E: Let ij denote the Kronecker delta: ij=1 if i=j, and ij=0 if ij. Find the value of the following...

See similar textbooks

Similar questions

Generate the first five random numbers (0 to 1) using Linear Congruential method. Given: a = 7, c = 6, m = 17, X0 = 110
As a generalization of Example 5.3(figure), consider a test of n circuits such that each circuit is acceptable with probability p, independent of the outcome of any other test. Show that the joint PMF of X, the number of acceptable circuits, and Y, the number of acceptable circuits found before observing the first reject, is PX,Y(x,y) = ((n-y-1)C(x-y))*p^(x)*(1-p)^(n-x) For 0 ≤ y ≤ x < n p^(n) For x=y=n 0 otherwise Hint: For 0 ≤ y ≤ x < n, show that {X = x, Y = y} = A ∩ B ∩ C, where A: The first y tests are acceptable. B: Test y + 1 is a rejection. C: The remaining n − y − 1 tests yield x − y acceptable circuits
An instructor has given a short quiz consisting of nvo parts. For a randomly selected student, let X= the number of points earned on the first part and Y= the number of points earned on the second part. Suppose that thejoint pmf of X and Yis given in the accompanying table. a. If the score recorded in the grade book is the total number of points earned on the nvo parts,what isthe expected recorded score E(X + Y)? b. If the maximum of the two scores is recorded,what isthe expected recorded score? A random variable is normally distributed with a mean of m =50 and a standard deviation of <T =5. Sketch a normal curve for the probability density Label the horizontal ax. is with values of 35, 40, 45, 50, 55, 60, and 65. Figure 6.4 shows that the normal curve almost touches the horizontal axis at three standard deviations below and at three standard deviations above the mean (in this case at 35 and 65). What is the probability…
At a certain school 60 of the 100 boys and 60 of the 80 girls signed up for the senior trip. Is there an associa-tion between going on the trip and gender? A) We can’t tell, because the class doesn’t have the samenumber of boys and girls.B) Yes, because the same number of boys and girlssigned up.C) Yes, because a lower percentage of boys signed upthan of girls.D) No, because the people on the trip were 50% boysand 50% girls.E) No, because the sign-up rate was higher among girlsthan among boys.
b) Use the linear congruential method to generate a sequence of 5 random numbers with given seed of 27, increment 43 and constant multiplier 17, modulus 100c) i. If an M/M/1 queue has utilization of 90%, what do you think will be the average queue length and the average response time? If the arrival rate is 100 jobs per secondii. If an M/D/1 queue has utilization of 80% do you expect its mean queue length and response time to be less, same, or greater than that of an M/M/1? Explain your answer.

Recommended textbooks for you

Elements Of Modern Algebra

Algebra

ISBN:

9781285463230

Author:

Gilbert, Linda, Jimmie

Publisher:

Cengage Learning,

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Elements Of Modern Algebra

Algebra

ISBN:

9781285463230

Author:

Gilbert, Linda, Jimmie

Publisher:

Cengage Learning,

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

5. Let the non-homogeneous Poisson process has the following intensity a(t) = -t² + 2t+8, 0≤t≤4 a. Compute Ao, the maximum value of 2(t) over the interval. b. Write an algorithm for generating the said process for to = 4. function